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REAL PART
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$1590\text{ to }1610\text{ }(\approx1600) $ MeV
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$-2{\times }$IMAGINARY PART
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$100\text{ to }140\text{ }(\approx120) $ MeV
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MODULUS $\vert \mathit r\vert $
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$15\text{ to }20\text{ }(\approx17) $ MeV
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PHASE $\theta $
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$-120\text{ to }-80\text{ }(\approx-100) $ $^\circ{}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit \Delta}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit \Sigma}}{{\mathit K}}$
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Normalized residue in ${{\mathit N}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit N}{(1440)}}{{\mathit \pi}}$
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${{\mathit \Delta}{(1620)}}$ BREIT-WIGNER MASS
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$1590\text{ to }1630\text{ }(\approx1610) $ MeV
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${{\mathit \Delta}{(1620)}}$ BREIT-WIGNER WIDTH
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$110\text{ to }150\text{ }(\approx130) $ MeV
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${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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${{\mathit \Delta}{(1620)}}$ $\rightarrow$ ${{\mathit N}}{{\mathit \gamma}}$ , helicity-1/2 amplitude A$_{1/2}$
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$0.030\text{ to }0.060\text{ }(\approx0.050) $ GeV${}^{−1/2}$
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The following branching fractions are our estimates, not fits or averages.
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Mode |
Fraction ($\Gamma_i$ / $\Gamma$) |
Scale Factor/ Conf. Level |
P (MeV/c) |
$\Gamma_{1}$ | ${{\mathit N}}{{\mathit \pi}}$ | |
$25 - 35\%$
| | 520 |
| $\Gamma_{2}$ | ${{\mathit N}}{{\mathit \pi}}{{\mathit \pi}}$ | |
55$-80\%$
| | 484 |
| $\Gamma_{3}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ | |
| | 311 |
| $\Gamma_{4}$ | ${{\mathit \Delta}{(1232)}}{{\mathit \pi}}$ , ${\mathit D}{\mathrm -wave}$ | |
52$-72\%$
| | 311 |
| $\Gamma_{5}$ | ${{\mathit N}}{{\mathit \rho}}$ | |
| | -1 |
| $\Gamma_{6}$ | ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=1/2, ${\mathit S}{\mathrm -wave}$ | |
seen
| | -1 |
| $\Gamma_{7}$ | ${{\mathit N}}{{\mathit \rho}}$ , $\mathit S$=3/2, ${\mathit D}{\mathrm -wave}$ | |
seen
| | -1 |
| $\Gamma_{8}$ | ${{\mathit N}{(1440)}}{{\mathit \pi}}$ | |
3$-9\%$
| | 98 |
| $\Gamma_{9}$ | ${{\mathit N}}{{\mathit \gamma}}$ , helicity=1/2 | |
$0.03 - 0.10\%$
| | 532 |
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